(9^3)^4 divided by 9^16

a: 1/9^4
b: 9^4
c: 9^28
d: 1/9^9

To solve this, we first need to simplify the expression (9^3)^4.

(9^3)^4 = 9^(3*4) = 9^12

Now, we can rewrite the expression as: 9^12 / 9^16

To divide two exponents with the same base, we subtract the exponents:

9^(12-16) = 9^(-4) = 1/9^4

Therefore, the answer is: a: 1/9^4